Pseudodifferential Operators on L, Wiener Amalgam and Modulation Spaces
نویسنده
چکیده
We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces M, acting on a given Lebesgue space L. Namely, we find the full range of triples (p, q, r), for which such a boundedness occurs. More generally, we completely characterize the same problem for operators acting on Wiener amalgam space W (L, L) and even on modulation spaces M . Finally the action of pseudodifferential operators with symbols in W (FL, L∞) is also investigated.
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